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ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
14 years 4 months ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
SAC
2006
ACM
14 years 4 months ago
Provably faithful evaluation of polynomials
We provide sufficient conditions that formally guarantee that the floating-point computation of a polynomial evaluation is faithful. To this end, we develop a formalization of ...
Sylvie Boldo, César Muñoz
ISTCS
1997
Springer
14 years 2 months ago
An Exact Quantum Polynomial-Time Algorithm for Simon's Problem
We investigate the power of quantum computers when they are required to return an answer that is guaranteed to be correct after a time that is upper-bounded by a polynomial in the...
Gilles Brassard, Peter Høyer
STACS
2005
Springer
14 years 3 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...
NCA
2008
IEEE
13 years 10 months ago
The application of ridge polynomial neural network to multi-step ahead financial time series prediction
Motivated by the slow learning properties of multilayer perceptrons (MLPs) which utilize computationally intensive training algorithms, such as the backpropagation learning algorit...
Rozaida Ghazali, Abir Jaafar Hussain, Panos Liatsi...